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GaryK [48]
2 years ago
13

Shirts are 5% off. The original price of one shirt is $15. What is the total cost, in dollars, of a shirt at the sale price, inc

luding a 10% sales tax​
Mathematics
1 answer:
Juliette [100K]2 years ago
8 0

Answer:

$15.75

Step-by-step explanation:

\frac{y}{15} :\frac{5}{100}

y × 100 = 5 × 15

100y = 75

100y ÷ 100 = 75 ÷ 100

y = 0.75

$15 - $0.75

$14.25

\frac{y}{15} :\frac{10}{100}

y × 100 = 10 × 15

100y = 150

100y ÷ 100 = 150 ÷ 100

y = 1.5

$14.25 + $1.50

$15.75

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I need to know which points go wj ere please
g100num [7]
The equations give you information as to where to plot points.

For y = -x + 1, you know the slope is -1, and the line intersects the y-axis at (0, 1). The y-axis is the vertical line; to plot (0, 1), find 1 on the vertical line and mark it. Now, the slope is -1; that means the line will slope downwards. To plot more points, count 1 unit down from (0, 1) and 1 unit to the right. You should end up at (1, 0).Connect those and you have a line.

For y = -2x + 4, the slope is -2 (so it will also slope downwards), and the y-intercept is 4. Find (0, 4) and plot it. The -2 tells you to count 2 units down (instead of 1 like we did for the last equation) and 1 over. That is the second line.

I hope this helps.
3 0
3 years ago
Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 12
melamori03 [73]

Answer:

98.75% probability that every passenger who shows up can take the flight

Step-by-step explanation:

For each passenger who show up, there are only two possible outcomes. Either they can take the flight, or they do not. The probability of a passenger taking the flight is independent from other passenger. So the binomial probability distribution is used to solve this question.

However, we are working with a large sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

The probability that a passenger does not show up is 0.10:

This means that the probability of showing up is 1-0.1 = 0.9. So p = 0.9

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets

This means that n = 125

Using the approximation:

\mu = E(X) = np = 125*0.9 = 112.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{125*0.9*0.1} = 3.354

(a) What is the probability that every passenger who shows up can take the flight

This is P(X \leq 120), so this is the pvalue of Z when X = 120.

Z = \frac{X - \mu}{\sigma}

Z = \frac{120 - 112.5}{3.354}

Z = 2.24

Z = 2.24 has a pvalue of 0.9875

98.75% probability that every passenger who shows up can take the flight

7 0
3 years ago
What is the probability of at least one boy and at least one girl in a family of four kids?
Brums [2.3K]
The probability is 50% or 2/4
8 0
3 years ago
Determine the measure of the unknown angle in each triangle​
devlian [24]

Answer:

78 degrees

Step-by-step explanation:

If you look at it, 2 of the angels are the same- those angels are A and B- the angel we are looking for. Angel A is 78 degrees and if angel A and angel B are equal then angel B is also 78 degrees.

5 0
3 years ago
Mr.Young has 30 times as many pencils as Jack.The whole school has 200 times as many pencils Jack.If Jack has 2 pencils,how many
Alexus [3.1K]
200x2=400
the school has 400 pencils
7 0
3 years ago
Read 2 more answers
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